Any wifi booster will be very linear I think.
I saw this one that seems quite serious but expensive : https://www.ebay.co.uk/itm/Sunhans-20W-43dBm-2-4GHz-Indoor-WiFi-Signal-Booster-High-Power-WiFi-Amplifier/292396404945
And this one very cheap, but maybe not real 8W : https://www.aliexpress.com/item/EDUP-8W-WiFi-Wireless-Broadband-Amplifier-2-4G-WiFi-Signal-Booster-for-wifi-adapter-router-camera/32788853553.html
I didn't find any ham radio 13cm power amplifier kit, it seems that some existed in the past, but I didn't find one available today.
Also, it doses not seems that it exists any chip with an amplifier built in, like the MITSUBISHI & TOSHIBA module, that exist for VHF/UHF/1.2Ghz
It's a quite easy way to DIY an amplifier.
But maybe I have missed something ?
20W indoor wifi amp
I'd expect the import big-number wifi amps to be rated by the absolute maximum that the amp can squeeze out. (plus a bit of "marketing" but lets ignore that for now) But wifi has a very large peak-to-average power ratio. You have to remain linear to keep the error vector magnitude small, and the constellation plot clean. So whatever your peak output is, (what they are going to market these amps as to make them look as good as possible) take 6-10 dB off to get what they are putting out in service in terms of average power. Ive personally taken a chip meant as a 1/4 watt average wifi amp from Analog Devices, and managed to wring about 1W CW out of it for an FM signal where I could let it start to saturate a bit.
However, the wifi amps are going to be built with thermal and power capability meant for their average, and I'd expect it to fall flat on its face, either browning out the power supply or overheating if you started hitting it with a CW signal for a satellite uplink, and if youre using the SSB mode (again with a ~6dB ish PAPR) I'd expect a disappointing amount of power.
See the reviews for the 8W amp
The amplifier is not functioning according to the specifications. I can at most get 2W at the output port. That is not enough for my applications. Sad that I waited so long for a product which does not meed the requirements and also is falsely advertised. Otherwise customer service was ok.
2W? 6dB less than 8W
That "20W" one doesnt even have any additional heat-sinking.
https://www.minicircuits.com/WebStore/dashboard.html?model=ZHL-16W-43-S%2B ( 16W CW capable amp for reference )
It doesn't mean that it is completely hopeless, though. If you have the equipment to measure how the amp is doing (SA with tracking gen, and attenuators) you can probably overhaul one of the wifi amps power-delivery and thermal management to get something passable. That 20W one seems extra scammy, I'd not touch it. But the "8W" one when running CW, with an added on high-volume fan, and maybe some beefing up of the power supply, and depending on the amplifier chip/transistor a bit of work on the input/output matching, bypassing or tweaking any AGC is may have, has potential at least.
https://amsat-uk.org/satellites/geosynchronous/eshail-2/ suggests that 5W can be suitable for the NB uplink with enough antenna gain. If you like to tinker, can get a bit more antenna gain, have the equipment, and dont mind the $50 for something that may be able to get whipped into shape, or may not be suitable, I'd say give it a shot. If you want something that just works, then nah, avoid both.