If you want a decent budget tyre that is good in greasy conditions try Conti Motions. I have them on my Fazer8.
I was impressed last winter on slick country lanes when following a guy on a GS (with T/c and all the gizmos) on Mich PR4's - he said he'd had a few slides, I had no such problems. Bearing in mind that a lot of the time UK roads are neither full wet nor dry, just - well, yuk - I reckon their performance is very suitable for our conditions.
On the Fazer they replaced the original Bridgestone BT021's that were, frankly, awful, at around 7,000 miles. The first Conti Motion rear did about 6,000 before it picked up a puncture and wasn't worth plugging, the front's now done over 7,000 and still has loads left. Bearing in mind that an MT-07 is considerably lighter and less powerful than the Fazer, on the same tyre sizes, I'd expect to get significantly better life.