+1 for OSMO oil from me too.
With an interior door I wouldn't be overly concerned about sealing the top and bottom edges.
A big advantage of the oiled finishes is that when the need arises, you can (normally) just re-oil them. If varnished with oil based varnish, the door may yellow if there is insufficient sunlight. A recoat requires extensive sanding. Water based varnish will not yellow but is far less durable and raises the grain. WB based finishes become soft over time if people keep touching them, the oils in our skin makes the varnish/paint become soft, so much so that you can remove the finish with your fingernail.
With an interior door I wouldn't be overly concerned about sealing the top and bottom edges.
A big advantage of the oiled finishes is that when the need arises, you can (normally) just re-oil them. If varnished with oil based varnish, the door may yellow if there is insufficient sunlight. A recoat requires extensive sanding. Water based varnish will not yellow but is far less durable and raises the grain. WB based finishes become soft over time if people keep touching them, the oils in our skin makes the varnish/paint become soft, so much so that you can remove the finish with your fingernail.