Join Date: May 2012
Location: Munich, Algarve, Sussex or S.F Bay Area
Programs: Mucci, BA Gold, A3*Gold, LH SEN, HH Gold, Marriott Plat, IHG Plat Amb
Posts: 5,594
No. I fares on BA are anything between fully flex and fully inflex depending on where and when you purchase them.
The cheapest business class I fares for round trips from the UK are almost always completely inflexible, perhaps that is what you have been hearing about, but I have very often booked from the EU with a €100-300 change fee or even ex Cairo with no change fee at all.
Read the fare rules carefully. Get these either by using ITA-matrix or ExpertFlyer. The airlines often only provide abbreviated information before booking.