I'd say Random's rating is pretty stabile


at any rate, the amount of points you'd win at his highest or lowest rating lately won't give you much more/less points. I did some fiddling around in excel and I found a nice approximation of the expected score (or at least, I thought so).

The further left, the higher your opponent's rating in comparison to yours, the further up, the more points you get for a win against that player
I took a couple of your last results and I used this formula to calculate what your rating would be a) when I add a win against random at the start and b) when I add a win against random at the end.
If you started with a win against Random, you'd have a rating of 1705 (singles classic elite rating), but if you end with a win against Random, you'd have a rating of 1723, which is 18 points difference in favour of beating him later.
Disregarding this fictive result against Random gave me a rating of 1665 btw, so the calculations I've been doing are off

couldn't get it much better after tweaking, but the difference remained about the same.
That may not seem like much, until you take a closer look.
In situation a (start with a win against Random), you win 61 points by beating him.
In situation b (end with a win against Random), you win 57 points by beating him.
According to the numbers, you had a better result in situation a, yet your rating is higher after situation b. But let's be honest: both game orders should lead to the same end rating

So basically, yes, I think all results should have equal value