The building regulations set only set the minimum standards for ventilation, and it's more-or-less accepted that those standards are fine for day-to-day living if the users use them properly. If the turn off the MVHR, don't change the filters, close off the trickle vents, don't open windows, etc, there will be a problem - and that's more likely in poorer households where people struggle to pay for heating.
However a new house may or may not have a VOC problem, depending on the products chosen, particularly during the the first two to three years. I have seen a study on this but don't have the details. At the moment, in the UK, there's not even much awareness of the issue.
France, in contrast, has had a mandatory labelling scheme for key construction and decorating products since 2013, linked to the levels of 10 key VOCs, plus the voluntary 'intAIRieur' auditing scheme for the indoor air quality of new housing.
Since you have time for research, you may want to check out the Natureplus database (an Austrian initiative, so mainly Austrian / German products) and the USA Healthy Building Network and Healthy Materials Lab. Plus the work of the UK Green Building Council and Alliance for Sustainable Building Products.