The person after becoming a British citizen must get the same benefits as any other UK citizen. The person will enjoy all the benefits such as infrastructure, education, lifestyle, social security, economic benefits, medical and healthcare benefits and many more. If your behavior is conducive to the public good. Yes, the UK visa and immigration has full authority to take strict measures against you if you are found to be a threat to the nation and national security. For example,you could be involved in terrorist activities, creating divide amongst the people through terrorism, have committed grave crimes, be involved in criminal groups and organisations and having adverse behaviour.
Having such behaviour could lead you to British citizenship deprivation. Deprivation means that your case is now a national security issue and punishment will be given the form of taking away your British. There is a high possibility that you may be deported after losing your citizenship.