As of August 2021, you can safely remove snap-store. The only impact will be that you no longer have access to the eye candy of the Snap Store.
Alternately, if the problem is size and bandwidth, consider helping to reduce them. Snap-store is forked from the upstream gnome-software application. The gnome-software developers do not intend the application to be annoyingly large nor bandwidth-intensive and welcome code contributions that will reduce those footprints
Removing snapd is also currently possible without destroying your desktop (exceptions: Ubuntu Core and snap-based Kiosks). Your Gnome desktop is not provided by those snaps. However, you may lose access to some applications (like Chromium) that are provided only by Snaps.
Again, snapd is open source. The snapd developers welcome code contributions that reduce footprint, improve performance, and enhance security.
In future releases of Ubuntu, the Ubuntu developers plan to Snappify some core features (like CUPS and the printing interfaces) to reduce their maintenance burden, so future readers of this answer should check carefully (like you did) to see what software Snaps provide.