In my experience Texels don't have horns at all, so I'd say that yes, your boy is a cross. Doesn't stop him being a good tup, of course.
As you like him so much I would just keep taking the tip off the horn with bolt cutters or cheese wire. Or get the vet to do a once-only operation and remove the whole thing (or nearly), using anaesthetic, of course. If you do the latter, do it when the weather is cooler and there are no flies about, and not during or immediately before tupping.
One other option might be to get the horn bent; there are people who do this with show and special tups, but I'm not sure if it can be done with older boys, nor where there is only a wee bit of a horn.
My Shetland tup Chad has horns which grow close to his head. We have to take a couple of inches off periodically or it gets tangled in the wool at the back of his neck and would in time make him hold his head forward or have the horn grow into his neck. I was talking to a Shetland Sheep Society ram assessor about him, and she said that where only one horn does this, if it was a twin, they assume it may be due to compression in the womb and do not mark the tup down. She didn't think it would stop him being approved as a ram if I wished to go that route, even though it's both horns (though one is more pronounced than the other.)
I've had Swaledale tups where I've needed to remove the majority of one horn. If you have someone very experienced with the cheese wire, who can go fast enough to built up heat, it cauterises as it cuts, which stops any wee bits of blood. However, if the cut has to be further up the horn where the horn is still warm, then I would take the tup to the vet every time. Ours did a tourniquet at the base of the horn to reduce the blood flowing into the horn, then removed the horn (under anaesthetic of course.) The tup who had it done at the vets didn't hate us afterwards