Matching indexed views is a relatively expensive operation*, so the optimizer tries other quick and easy transformations first. If those happen to produce a cheap plan (0.05 units in your case) optimization ends early. The bet is that continued optimization would consume more time than it saved. Remember the optimizer's primary goal is a 'good enough' plan quickly.
Using the clustered index on the view isn't expensive in itself, but the process of matching a logical query tree to potential indexed views can be. As I mentioned in a comment on the other question, the view reference in the query is expanded before optimization, so the optimizer doesn't know you wrote the query against the view in the first place - it sees only the expanded tree (as if the view had been in-lined).
"Good Enough Plan" means the optimizer found a decent plan and stopped early in an exploration phase. "TimeOut" means it exceeded the number of optimization steps it set itself as a 'budget' at the start of the current phase.
The budget is set based on the cost of the best plan found in a previous phase. With such a low-cost query (0.05) the number of budgeted moves will be quite small, and quickly exhausted by regular transformation given the number of joins involved in your sample query (there are lots of ways to rearrange inner joins, for example).
If you are interested to know more about why indexed view matching is expensive, and therefore left for later stages of optimization and/or only considered for more costly queries, there are two Microsoft Research Papers on the topic here (pdf) and here (citeseer).
Another relevant factor is that indexed view matching is not available in optimization phase 0 (transaction processing).
Further reading:
* and only available in Enterprise Edition (or equivalent)