The intent of the canon is not to split up the community into parts by having several liturgical services that one may pick and choose to attend.
Which canon are you referring to?
As far as I am aware, the reason our Church prohibits the service of more than one Divine Liturgy at any given altar has something to do with Liturgical theology; i'll ask my priest what that is exactly, as I cannot recall anything specific.
In any event, people who do not plan to (simply because they cannot, or for whatever other reason) attend the Divine Liturgy everyday (which is obviously, and by far, the majority of people) are essentially given the opportunity to pick and choose which Liturgical service to attend, only in such cricumstances it is a matter of choosing which Divine Liturgy of the week
, rather than which Divine Liturgy of the day
. So the canon in question, in light of the intent you propose lies behind it, doesn't seem very practical.