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No they shouldn't vote. Truth is the Lords don't care too much either way, it's just a petty point scoring exercise against the government. This article puts it well:

The peers seeking to give youngsters the vote do not really care about the young. They want to cause trouble for the Government. A new franchise would require a new electoral roll. The time taken to compile that roll might preclude a referendum next year. Overturning a Lords vote to amend the Bill – as the Commons is entitled to do – would also cost time and potentially limit David Cameron’s options.

Some Tory opponents of EU membership are quietly egging the peers on. They calculate that the later the referendum, the more likely Brexit becomes. Peers would be wrong to pass their disruptive and cynical amendment. Whatever the arguments over EU membership, Mr Cameron and his Government were elected on a clear promise to pass this Bill, which was first published in the same form in the last Parliament. The House of Lords is entitled to scrutinise and revise government plans, not wreck them. Peers should think again.

http://www.telegraph.co.uk/comment/t...d-to-vote.html