I’d ask what your evidence is that your family were moving to different houses in the same street? If, for example, it was taken from comparison between the 1901 & 1911 censuses, then the numbers there were the enumerators private numbering system, and did not necessarily bear any relation to any postal address. So the family may not have moved at all. Likewise the numbers in Griffiths Valuation and the Valuation revision records don’t relate to postal addresses.
If you could give us a specific example, it might be easier to analyze. But your general question about whether landlords deliberately moved people about, I think the answer is unlikely. Why would they do that? They might lose money doing that. They generally only moved people on if they weren’t paying the rent. People are more likely to have moved because they had changed their place of employment or because the rent in one location was better, or because they needed a slightly larger house for their slightly larger family.