Actually the Scottish Unionists were affiliated with the Orange Order and benefitted from a significant Orange Vote in working class areas, the link with the OO was only broken over the Anglo-Irish agreement. You are correct that they weren't as parochial as their Ulster counterparts and were much more like natural Tories in their policies.
The Old Ulster Unionist Party was a very broad church of people who just supported the Union but had little common shared ideology apart from that. As Unionism fragmented in the early 1970's much of the working class vote went to the DUP which today is quite left wing in outlook when you examine their policies. The DUP is also more Ulster Nationalist than Unionist, which means basically they reject deeper integration of NI deeper into the UK but still want the English to fund everything, which is why they get on so well with Sinn Fein as apart from the Border Question and related issues they have an awful lot in common.