For future flexibility (as Umar suggests), probably yes.
1st answer: Electrically, probably not.
2nd answer: Needs checking - see below:
Look at the relay contact resistance and/or voltage drop specification.
At 10A, I^2R heating of
- 100 mW requires 1 milliohm contact resistance.
- 1 W requires 10 milliohm contact resistance.
Odds are the actual spec is somewhere in that range.
100 mW is very unlikely to bother you and 1 watt is unlikely to.
So, relay specifications should establish an upper limit of the likely problem, before other thermal dissipation sources are considered.
THEN I looked up a datasheet.
I could have removed the above optimistic conclusion, but will leave it in as a lesson to others (as well :-) ).
It's reasonable to assume that an Omron part will be "as good as most".
Low cost little known source parts MAY be as good, but also may realistically be significantly less good.
Here is the data sheet for an Omron G2R 230VAC 10A PCB Power relay
On page 6 it gives contact resistance as 30 milliOhm max/1 pole and 50 milliOhm max/2 pole worst case. A note states the measurement is made at 5V, 1A. It is not certain whether the 5V refers to a coil voltage or ??? 1A will be the contact current.
So - worse than I assumed.
At 10A and 30 milliOhms power dissipation in a single contact is 3 Watts.
I think it may be worth asking the manufacturer for specifications and even doing some measurements.