The high-demand for rental accommodation in your area is not really an issue as any break-fee that you agree to is fixed at a maximum 6 weeks rent if you move out during the first 6 months, and 4 weeks rent if you move during the second 6 months.
I doubt that tenants would ever ask for a break-fee to be included in their Rental Agreement, so I’m guessing that you meant to ask if tenants should ask for any such fee to be removed (?).
I’m not having a go at tenants here, but under the recently revised Residential Tenancies Act (2010) the ability of Landlords to optionally include a break-fee to apply under specific circumstances is one of the few remaining provisions that don’t overtly favour those tenants.
Even then, tenants still have several get-out situations available to them, like if someone you’re sharing the rent with moves out or if your Landlord decides to sell the place.
So, it’s really up to you; if you want the place, sign up.
(p.s. – I’m not a Landlord)