Looks superb.
At some point in the early 60s, or before, many pioneers of modern wargaming seemed to be quite opposed to grids – they decided it was 'military chess' (or gave it other names) and not really the same thing as what they were doing.
The benefits of a grid are many and the visual downsides can be mitigated in various ways.
The terrain shown here benefits from a few things:
marking the grid with just small corner crosses,
having quite a lot of squares (I've always thought TTS was more of an 'area' game than a grid game given what I know about the mechanics – then again, I don't own a copy),
the quality of the terrain features,
also the scatter terrain is doing a lot of work to break up the square features.
You can use a grid and just plonk your usual terrain on top of the table, it's often easy enough to look up or across the grid to see where the troops are and you can develop a protocol that the feature counts for a square if three or more corners are covered – or similar.
Regards
David F Brown