Yes, you should state that the work is not equivalent, and force the employer to make the redundancy.
But MM says, much depends on the terms of your redundancy. One of the benefits of redundancy is that the payments are gross and not subject to tax and NI. Try and ensure that your contractual notice period entitlement payment gets rolled into the total 'redundancy severence' sum. Then it too is paid gross (up to �30k,anyway) and it enables you to claim JSA from the (earlier) date of your termination - not from the end of your contractiual notice period. This is the point that Dot is making. However I thought that Housing and Council tax benefits were a means-tested benefit - contribution based JSA is not.