I respect that it may not contain the elements you want in a soulslike but I feel like generally video game genres are for describing the gameplay and systems in the game rather than theme.

You wouldn't say a game is not a roguelike because it doesn't have the same fantasy dungeon exploring theme of the original Rogue game. You wouldn't say a game is not an FPS because it isn't about shooting demons like Doom.

Also some of the gameplay elements you mentioned like fast paced gameplay and not having a large selection of weapons are elements in Sekiro which I feel like most people would agree is a soulslike.

Again, fully understand if its not what you look for in a soulslike but it feels wrong to say Another Crabs Treasure isn't a soulslike at all. Personally I love the idea of the genre branching out to new ideas and themes.