Am I being a divvy?
No.
There are multiple standards. Not surprisingly.
Tektro hose external diameter is a bit wider than Shimano which is 5mm. But bear in mind Shimano have 2 different internal diameters for road & mountain bikes.
If you want to add a bit of extra hose using a connector, or a new longer hose, best to stick to the same Tektro hose.