Not sure how high altitude it was intended to be, since neither the Sabre or Vulture were particularly high altitude engines at that time.
The original specification for F.18/37 called for a service ceiling of "not less than 35,000 feet", and the first example to be trialled, P5212 recorded a maximum altitude of 32,300 ft.
Also, the Tornado/Typhoon was designed to replace the Hurricane and Spitfire. That it did not replace the Spitfire is an indication of its failings.
Yup, I know this. Its failings became evident pretty quickly, although the report prepared by the A&AEE in September 1940 after flying it was generally praiseworthy, containing the phrase "It is quiet, and though fast, gets along without any obvious effort and as a result has a good psychological effect on the pilot." On evaluating the first production model the problems made themselves known, the excessive vibration from the Sabre and the cockpit filling up with exhaust gases.