DJI doesn't report the antenna specifications, but from numerous tests I have done (read my post history) one can conclude that the bird and remote both come equipped with vertically polarized omni directional antennas most likely around 4-5 dbi gain.
If you spend $300 on an antenna for your remote, this would be foolish IMHO. There are hundreds of comparable antennas on Amazon or eBay for under $50 (albeit not customized to fit the remote with custom brackets, stickers, etc. that many folks enjoy paying for).
The phenomenon you see with stronger signal on the return flight is because the vertically polarized antennas on the bird are swept back a few degrees. You should only see the difference at max distance with one/two bars of signal left. Anything else is an artifact of something else.
Also, there is almost ZERO benefit amp'ing both antennas on the remote and/or birdside. I tested this dozens of times and and it is literally a waste of money buying a second amp for the RX port. 99% of the benefit can be achieved using the TX/RX port only. For that matter, you can completely disconnect the RX port and have NO antenna and performance is identical and I tested/verified this many times. The dual RX antenna is only beneficial in close range multipath environments like you would see in drone racing.
Lastly, all the amp and antenna mod's benefit those that do not have ideal conditions. If you are in a dense urban environment the noise floor is much higher, this is a good solution for you. If you live in a forest with trees everywhere, this is a good solution for you. If you are lucky and live in a remote area with flat land and little trees, you are probably wasting your money upgrading the radio systems on the mavic.
And you all are smoking crack talking about amp's over 4 watts. I have personally fried 2 Mavic remotes testing some 5 watt amp's from work. All radio systems have a receiver sensitivity and if you exceed this, you will brick your remote and void the warranty. Been there, done that
Just my $0.02