In Massachusetts it’s legal to pass on real property tax increases during the term of a residential lease, provided the lease contains specific clauses. (Most leases do, as a result.) And most commercial leases are triple-net, meaning the tenant is also on the hook for increases.
I would be surprised if most land consumption taxes (whether structured as property or land) would not get directly passed through to the beneficial consumers of that land quite quickly, or for their privilege to consume that land to be terminated/non-renewed at the expiration.
In California some percentage of certain developments need to be rental controlled, so those are exempt from increases for those lower income folks, but I'm sure the difference would be spread out among everyone who isn't rent controlled.
One of the benefits of a land value tax is that it has zero dead weight loss: because there's a fixed supply of land, the tax won't cause less of it to be around, and you don't lose out on the beneficial transactions that property tax can prevent.