Thorny Tayberries are slightly more thorny than raspberries but there's no comparison to blackberries.
Interesting point: I have never tasted a thornless blackberry that wasn't deeply disappointing - when you breed for anything except flavour the flavour always goes out with the bathwater.
Thorny Tayberries however are only slightly more tasty than thornless ones - whoever bred them won a good second place in that lottery. Thorny ones are worth having if you have enough room to work around them but the thornless ones can go anywhere - next to paths, sharing a flowerbed etc. etc.
Beersmith is right in that if you want them at the most delicious stage (a light-mid maroon colour) you have to pick them daily - but as I've said before they are not as bad as Loganberries that have to be picked hourly or they're only fit for stewing.
If I can't pick them maroon tomorrow I still enjoy them at pillar-box red and slightly sharp.
On that point - what kind of apples do you like? If you like Cox's bought in winter when they are softer but sweeter and less sharp then I'd say you probably prefer an apple pie to a fresh apple and you are unlikely to love Tayberries as much as I do. If you like Gala or Golden "Delicious" (like they say, a big lie is more effective than a little one), then you'd probably better skip the apple pie and go straight to the baby-food section.
It runs in families - you like what you ate as a kid - my family always bought Granny Smiths, would always save a ripe Bramley from going to the pot and eat it raw, and in the 60s & 70s were often heard to moan about the fact that Sturmers had disappeared from the shops.
NB. If next June and July are scorching like this year Tayberries will need a bit of shadecloth or they will cook on the vine before they are ripe - and they taste awful, not stewed (they make the best jam) - though part of it might be the shock.
Cheers.
PS. In my garden I can't offer a strawberry or any other berry to a visitor because they might have that weird "parsley" taste on them - it's not horrible but it's very wrong. I'm now sure it is caused by Shield Bugs - if you squash them they have an identical smell and they use it as a defence.