That would be so very sad. My DS is now just about past CBeebies, but he loved it so much when he was younger. It's very refreshing to be able to let youngsters spend a bit of time in front of programmes that have been made with the intention of educating and exciting them rather than as a back door to selling merchandise (or other generic toys and games), with toy companies shouting at them during the very frequent ad breaks.
I wonder if it may have fallen foul of the silly ratings rules (not that the BBC should be chasing ratings anyway - that's the whole point of it). I believe they have a formula to calculate the number of viewers, but don't include children under a certain age. Probably as a throw-back to when adults were watching programmes aimed at them - soaps and gameshows and the like - and their little ones were just 'there' and not really bothered. Now, it's come full circle and there may be thousands of happy viewers of Mr Tumble, but if you exclude the under 5s from your figures of active viewers, it will look like nobody is watching.
If anything has to be cut, surely it should be the massive sports matches, which are covered on other channels anyway and for which the rights cost an absolute fortune. The BBC could then concentrate more on minority or less-popular sports that don't get the airtime on ITV and Sky.
Also, sad to say, drama. It's phenomenally expensive to make and there are so many very highly-rated series on Netflix and Amazon to fill the gap for those who want it.
When you think how much it must cost the BBC to maintain CBeebies and CBBC compared with the likes of BBC1 & BBC2, it must pale into insignificance. If cuts have to be made, they could always stop commissioning so many new series of kids' programmes and 'refreshing' the schedules as often as they do, considering that most of their viewers will only be watching for a short window of time anyway before being replaced by new, younger ones, for whom it will all be new again.
It's a very poor show and very short-sighted to alienate their future subscribers whilst they're young, for their whole lives.