I presume the main advantage of transferring shares is to avoid taxation on realised gains. Secondary is to avoid transaction fees? I sold and bought recently

I presume the main advantage of transferring shares is to avoid taxation on realised gains. Secondary is to avoid transaction fees? I sold and bought recently (because transfer looked like paperwork hassle to me): had a small transaction cost, and the main disbenefit was losing transaction history e.g. buy date was now reset; it was tax neutral for me either way.