Do IFR controllers look at flight-plan equipment list?
 

This one is for the IFR sector controllers, e.g. London Control, Brussells, Langen, Frankfurt, etc.

For example if I specify RNAV will I get more long DCT shortcuts, whereas if I specify the standard basic S/C I should be offered only "own navigation to XXX" where XXX is a VOR... (or vectors).

From a number of long IFR flights around Europe (SEP context, FL100-160 generally) I don't think this is true, in that I have had all sorts of combinations of instructions despite using S/C initially and the more detailed combinations since.

In which case, what does the ICAO flight plan equipment list actually do?

We do not see the flight plan in ATC. We use flight strips/computers which have abbreviated flight plan details on them.
All aircraft will be given the same direct routes, VOR or fix, where appropiate.

Above FL95 in European Airspace flying IFR you are expected to be BRNAV compliant. If you are not, you must fly below FL95 or you can try putting 'Non-BRNAV' in the Field 18. There is a chance that your plan will be rejected in this case.

I'm afraid I don't have the reference to the legislation.

A bit different Downunder. Because so much traffic transitions into non-radar airspace, we're required to check what nav gear each aircraft has in order to determine what separation standards are appropriate. A click on the label opens up the flight plan...and all is revealed. If the pilot doesn't list what he has, he could miss out.

to answer eyeinthesky's question...the legislation is referred to in yellow AIC 148/1997 (280)
On that point, there is no FPL item 10 letter for RNAV. If as is suggested, non-carriage would cause the FPL to be refused, what is one supposed to enter in item 10? R for RNP compliant??
Over to Bookworm I suspect! :)
Tori

Last time I looked, the only thing the IFPS looked at and rejected the FPL for if absent was the Y for 8.33 spacing above FL245. I use "SR" for equipment to indicate standard + B-RNAV.