The problem with this analogy is that our national debt has increased more in the past 4 years than it did in the 13 years previous under Labour, because the Conservatives strategy was reliant on a growth in tax revenues which were overly optimistic. Labour's plan was to borrow in order to try and stimulate growth and increase tax revenues. Both had the same objective, to decrease the deficit. One by increasing income, one by decreasing expenditure.
A better analogy would be whether we stick with Adams in the sheer hope that our performance improves sufficiently whilst cutting our costs (Conservative strategy) but may find that it doesn't, or take a punt on investing in in an experienced manager in the belief that it would improve performance and result in prosperity (promotion), but may find that it doesn't and could backfire financially (Labour strategy). Both options involve not much more than a massive gamble, and both have the possibility of worsening our position (debt could increase as a result of sticking with Adams and failing to win promotion, debt could increase even further by shelling out on a big name manager and investing in the squad, without promotion). Both are a risk, and the failure of either is a disaster.
Lets remember that the Tories promised to wipe out the deficit over this 5 year parliament. Instead they merely halved it, from £150bn to £72bn, which is higher than it was for all but 1 of Labour's 13 years in power, and we ironically voted out one of the few chancellors we've ever had who had successfully run a budget surplus for multiple consecutive years (before Tony Blair got us into an expensive war, which put paid to that).