Yes, if I am understanding you correctly, this is partly the issue with frames such as the H. I can't comment on other commercial UAV's as I don't own them.
When powering up the ST16 and the Typhoon H, you get data (on the ST16 screen) stating how many satellites you can see. This basically means that both the ST16 and the H can 'see' that many satellites and have a 'fix' on them. What it doesn't tell you is when the data from these satellites is completely updated.
Flying prior to having all data updated may cause issues with flight stability, etc because the H will not have a solid lock on your position.
Yes, the manual should state this, but there is also some ownership on the pilot to ensure that they completely understand the workings of their UAV. Unfortunately, there are some people flying the H that have never flown before or have very limited knowledge of multi rotors, particularly those with capabilities which rely on GPS.
Basically, the lack of info in the manual is a bad thing, but we can't put the blame solely on this.
Maybe there is scope in a future FW release to show a separate screen in the ST16 with this additional data?
For anyone not up to date with things like the almanac, do as Rayray has suggested and use the 'search' function on this forum. Also note that if you are regularly flying in the same location you don't need to wait up to 10-15 minutes for each flight. This is only necessary if you are flying in a new location, or if you haven't flown for over a fortnight (for example) in that location. Hope this helps.