Short answer: No, it doesn't matter.

Long answer:

The non-Premium version of FreeSync also requires LFC. The difference between FreeSync and FreeSync Premium is the later means the monitors have a 200hz refresh rate or higher. And FreeSync Premium Pro is 200hz and has HDR input support. Note, it doesn't need to be able to display in HDR, just needs to be able to accept an HDR input. If it then displays it in regular SDR, it can still use the "FreeSync Premium Pro" label. Several "HDR10" or "DisplayHDR 400" monitors list FreeSync Premium Pro support, but HDR10 is a video signal format, and "DisplayHDR 400" effectively means it's a slightly brighter than average office monitor.

FreeSync is also really just AMD's marketing name for what have become DisplayPort Adaptive Sync and HDMI 2.1 Variable Refresh Rate (VRR). AMD's implementation was based on an existing spec from DisplayPort used on low powered embedded displays. This was eventually adopted by VESA (who control DisplayPort) for DP 1.2a and the HDMI Forum (who control HDMI) for HDMI 2.1. So that the standard implementations are now essentially the same as FreeSync. The only difference is FreeSync monitors may not have HDMI 2.1 as the HDMI Forum decided to slightly tweak the implementation in HDMI 2.1 vs AMD's original.

Low framerate compensation is basically used by all but the shittiest of shitty monitors already support DisplayPort Adaptive Sync or HDMI 2.1 Variable Refresh Rate, because that's all FreeSync is to begin with.

Similarly, "G-Sync Compatible" is literally just DisplayPort Adaptive Sync and HDMI 2.1 VRR. Nvidia doesn't support variable refresh over HDMI 2.0 or older as Nvidia don't support AMD's original HDMI implementation. Nvidia's original G-Sync, now called "Native G-Sync", used custom hardware on the monitor and entirely different signaling that only worked over DisplayPort. The only exception is on a small selection of LG TVs and monitors before HDMI 2.1 was officially released had "G-Sync" support over HDMI which either used something completely custom, or maybe a pre-release implementation of HDMI 2.1's VRR.

It should also be noted that being getting the "FreeSync" label is entirely down to each manufacturer choosing whether or not they want to add it. AMD doesn't do any certification themselves, and it's entirely on the monitor company to determine which level of FreeSync they want to advertise support for. Some very high end monitors today forgo G-Sync or FreeSync labels entirely because this is a feature any gaming monitor is expected to have at this point, and both Nvidia and AMD GPUs will work with monitors that support the latest display input standards.

But the short version of the long answer is... if the monitor lists support for G-Sync Compatible, FreeSync, or Adaptive Sync, or VRR, they'll all work equally well with an RX 9070. Just avoid the 60hz\~100hz options as you can get 180hz+ monitors for nearly the same price as 60hz monitors that have much better image quality. But if you were looking for FreeSync Premium, you were already looking at that class of monitor.