Would rebuilding HMS Tiger make production of smaller Tiger Cub cruisers more likely?
Short answerNo; the strongest case for Tiger Cubs comes earlier, when battlecruiser costs outgrow the need for numerous distant-station cruisers.
NotesA Tiger Cub program fits the period before the First World War rather than the aftermath of a hypothetical 1930s reconstruction of HMS Tiger. Early Invincible-class battlecruisers cost only moderately more than armored cruisers, so their added capability justified the premium. By the time Tiger cost roughly £2.6 million, a cruiser near £1.1 million could again fill distant-station and flagship roles far more economically. In a later war, a similar concept would only return if capital ships were too slow to build and carriers needed affordable heavy escorts.