Hey fella', I'm no expert but here's my take on it. I do a lot of cycling over the Mendips down 'ere I be in zummerzet and my first serious modern road bike I bought when my passion for cycling was resurrected, was a 9-speed triple. I had no fear going up hills of any kind but there's a reason why people have doubles and compacts too, so I looked into it more and realised that when weight became more of a consideration a double was better for obvious reasons - one less chainring.
When I bought my newer roadie I knew I wanted a double but what to go for? Well, as others have mentioned you don't get as big a top gear with a compact, that's why it's called a compact and it's better for climbing given the smaller chainrings. I also, as well as the hills, like pummeling my carbon over the flat gradually moving up to a massive 11 ratio on the cassette, my biggest gear on a SRAM Rival set-up BUT I also compromised with a 28 at the other end giving me that extra low gear on the smaller chainring. On some gradients admittedly it's still hard work (like more than a triple would be on the lowest cassette sprocket and smallest chainring) but eventually I got the hang of it on gradients up to 20%. This might be pushing it for some riders given their own ability in power and not at all for others, whilst I'm puffing away like Puff the Bonked-out Dragon.
What I knew when I opted for a standard double over a compact however, was that I didn't want to compromise a bigger gear downhill or on the flat for something better uphill. The compromise was a larger (28) sprocket on the back which may or may not be enough for you in any given circumstance, hill or mountain depending on your own ability.
I'd say then that that is the real question Rob, compact equals smaller gears than a standard and the trade-off comes in having more scope on the lower gears. Like me you might find that an 11-28 standard is a compromise, whilst others might find that too much of a gap between gears.
Best of luck.