The P4P will behave like the P4 you see in the video. Although the firmware influences, what really matters is the shape of the drone or its aerodynamic (closed structure) and most importantly the number of engines. Between 2 well configured drones, a Quad and a Hex, the Quad will never be able to rival the Hex, it is something mechanical, there is no magic. Always talking about drones at the same level.
These conditions of wind, are not advisable to do anything, neither photogrametria, neither video nor anything, are only extreme tests. Although the drone withstands the wind we have to look at the other fundamental component to get good images or videos, the gimbal. And with those winds, few gimbals can withstand it in suitable conditions. They are all the time making corrections which prevents stable shots.
More as a table of discussion, not argument on video & crafts.
We're assuming FW isn't effective in modifying motor performance, assuming motor/performance similar, assuming ESC performance and electronic response similar specs & design?? The FW & components can have tremendous effect on the craft performance.
No magic, Fully agree in fundamental aerodynamics and mechanical components. Dismissing for a moment physical aerodynamics for simplicity all having similar CoF, D, and various structural similarities. The 6 vs 4 debate is more reliant on the motors & props: performance, pitch, rpm, torque limits, ESC response; assuming all respond similar to sensor signals.
The debate on 4 being less receptive to wind, does that indicate a 6 is less receptive than 8 as well, or 12? Does that also mean shape: 6 flat dish vs Y-dish with push/pull are equal due to number of props regardless to degree of motor arms in circumference, or a X-Oct. Is it the prop points and number of props around the circumference giving Hex command over Quad? A prop point every 60 (*) degrees vs 90 (X), or 120 (Y)? If a Y-Hex is more stable in wind due to physical design (aero & power), then it's not prop points around circumference, it's more the motor/prop performance and sensitivity of electronics at each point.
My viewpoint doesn't accept a flat hex dish as a superior design over a X or Y, 4, 6, 8 propulsion. If so, it'd be utilized often in multiple brand models, particularly by strong players in consumer/ Prosumer market. The small Hex hasn't been left alone in market because Yuneec held a patent on Flat Hex, superior electronics, or secrets. Multiple variables and benifits contribute the whole product. If the answer was flat Hex rules, there would be competitive Hex's... probably better overall designs on the market by now.
If all things being equal, increasing the number of radial thrust points around circumference can improves stability up to the point of other dynamics overpowering the gain: exp H520 Hex.
Can the P4P or an I2 able to perform better in the wind... depends on power & electronic engineering and intended design parameter limitations beyound my access, but my guess is if needed by market, it'd be addressed.
**** Off tangent thought; I've always pondered that if the Hex was the best overall solution why hasn't DJI attacked that market... on the mere side of resources (budget, designers, manufacturing, packaging, and product offerings, electronics, etc.) they could easily take that catagory without designing a whole new model line. The question to me has always been more on the side... why has DJI left Yuneec and it's Hex craft alone... certainly not "fear" to compete! I feel they've left it alone for positive market gain purposes, comparisons, stimulation of brand, and lastly, Yuneec hasn't poised any threat to their market and market direction. Not suggesting Yuneec hasn't had some impressive capable designs, and also not suggesting DJI hasn't kept Yuneec so-called Contained. But UNTIL Recently they haven't even tickled the market share "trending" needle of progress; but the H520, H520G and H-Plus (market disguised H520) have began to get attention and that will/has gotten their attention... which probably indicates the rumor mill may be accurate on a sm Hex. Personally, a little Hex competition may be beneficial in multiple facets; it may stimulate Yuneec to go after additional funds and take an aggressive position in designing, 3rd party cooperation, and marketing to retain their market or possibly improve share.