That's good, are you happy with it or a short term solution?
Back to the original point, I must be in a minority. I dropped out of university only to return a couple years later, to a university ranked lower. At the time I didn't think it would really make a difference, but I'm sure it does. So what I'm saying is, I went to a lower ranked uni and I would tend to agree with OP.
I am set to graduate with a first, however I do not believe it is on par with a highly ranked computer science university. As someone else mentioned UCAS points are quite frequently used which are probably not going to be a factor for someone attending a higher ranked university. So I would say, **** rolls down hill. My point is, my course had a lot of people who struggled and they were not difficult or bleeding edge modules, their limiting factor will be lack of UCAS points.
Now that doesn't help someone with a 2:2, however, it should allow you to attempt to sell yourself. For example if your course is considerably more difficult you could indicate certain modules and what you produced on your CV, or link to projects on LinkedIn - which is becoming increasingly popular to gain employment.
I'd be surprised if your university did not count against you or help you; there was a time when job applications would state 'Russell group'. More recently I have seen "top 20 red-brick university". So while it may not be used at the initial stages, it may do later.
There are definitely flaws in the entire system, but they've been there for some time and will continue. If you attend a university who has a particularly strict and unforgiving classification system, you may worry about a 2:1. Likewise you could attend a modern university making a name for itself in your field, gain a 2:1 or first, but your lack of UCAS points (which caused you to attend such a university) will also prevent you from gaining employment - to an extent.
Though I only really think a 2:2 is problem for the large graduate schemes where you're competing with students from all across the UK and possibly further.