I'm not sure where you have seen information that household contacts of the immunocompromised will be offered the spring booster in Wales - I've just checked this (gov.wales/covid-19-vaccinat... and it isn't the case.
The spring/second booster is only being offered to:
* adults aged 75 years and over
* residents in a care home for older adults
* individuals aged 12 years and over who are immunosuppressed (as defined in in the Green Book)
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