I don't think the issue is compensation at all -- the OP is explicit on that point..

What it really is is the lack of an expression of concern on the part of those in charge about the welfare of a valued guest who was injured (but not accusing the hotel of being responsible), on the property.

I cannot believe that a "Get Well Soon" card or something appropriate (flowers, fruit basket etc.), sans any expression hinting at cupability would not be appropriate.

A hotel we guested at ;ast smmer (on points) treated us rouyally, provided a beautiful cake celebrating my wife[s birthday along with a card signed by numerous members of the guest relations, front desk and lounge staffs.

The hotel in this case couldn't be bothered to say "We hope you're felling better?"