Yes, I'm in the same position. I admire the lightness of the new Tiger Lite. But the plate is so flexy that the F-row mostly doesn't work, they're not engaging the PCB.
It's also like a lot of these cheaper plastic-cased keyboards aren't really designed for tactiles. Which probably benefit from a soft bottom-out. Linears may work better with the Classic TKL. And many people say that the bottom rubber is integral to good sound, but I have no idea. Certainly, it is possible to modify the sound of that board using dampening materials.
Soon, I will try to switch over to a Transition Lite TKL. It seemed like it would offer a flexy / soft typing experience, but I didn't really get a chance to try it out. If I don't like the switches I have in there right now, maybe I will migrate my HG Browns to it.
Honestly, if you are primarily using tactiles, it is probably best to get a top-mount keyboard with a high-quality polycarbonate or PP plate. That is where my best typing experiences with tactiles are. No matter how much more it costs, top-mount and a really good flexy plate are the best.
In your case, instead of purchasing a Tiger Lite and a Classic TKL, it may have been better to pool your money into something like the Diversity TKL:
https://geekhack.org/index.php?topic=125085.0That seems promising for tactile mounting, and was very reasonably-priced in GB.