At the point we loaded the dataset to support the “searching” endpoints (25th February 2015), supporting both the API and the web interface we only loaded 12 months of dissolved companies, which explains why when searching either by name or number for this example you only get one result, as both 02733614 and 03639752 were dissolved many years ago. We, however, loaded the company profile, officer and filing history data for all dissolved companies dissolved within the last 20 years which is why you can access them directly.
The plan is to add all dissolved companies into the search dataset which will remove this anomaly, but we have no concrete timescales for this change.