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Well, there may or may not be a problem. The first and most likely explanation is that the brake is designed to run a very tight tolerance. Companies sometimes make this decision because it affects lever feel or 'mechanical advantage'. This however makes the brake hard to set up. Hope are often criticised for this.
On the other hand, we could could assume there is an issue. I notice that TRP make specific Spyre rotors. Perhaps these are thinner than the ones you are using. Another possibility is that - as you suggest - the adjustment screws have been drowned in thread lock and need some persuasion. However, if you're able to turn the screws to a certain point and then they seem to stop, it's not a thread lock issue. Don't force then of you'll round the hex hole.
Not a lot of information there unfortunately :(
Hope that helps.
Just setting some flat mount spyres up - even with no cable installed and the pads wound all the way out it the clearance between the pads seems quite tight - is this normal ? (Pads are new)
Edit: bit of googling suggests the pad adjustment screws need a bit of force when they are new