Hmm... When I type this public key in their search field, they find it as an address.
The search bar part, yeah, incorrect, but they've indeed distinguished it from other standard outputs like P2PKH, which is enough for me.
Technically they shouldn't show you anything because public key is not a P2PK (nor is it P2PKH or any other address type). When we say P2PK we are talking about a specific script that contains the public key (pushdata + OP_CheckSig).
Well, yes, but why not showing you the balance of that particular public key? You can argue the same for P2PKH, that we're talking about a specific script that contains the RIPEMD-160 hash.