AFAICT, as of commit a0a422c,  we have 2 different logics to evict outbound peers : lagging-chain (`ConsiderEviction`) and (`CheckForStaleTipAndEvictPeers`). The former to sanitize out lazy/buggy peers who have never sent us a valid header and are always staying behind our tip, the latter triggered in case of stale tip due to block variance to seek a better chain by rotating our outbound peers if we already reach an outbound limit (`EvictExtraOutboundPeers`).

Block-relay-only peers were introduced by #15719. Contrary to outbound full-relay peers who provided us at least a useful header, they're not protected by lagging-chain eviction.

We actually have a comment inside `ProcessHeadersMessage` indicating the contrary behavior. We should either document cleanly that block-relay-only aren't protected or effectively extend the scope of protection to them.

Hinted during #19724 review, see https://github.com/bitcoin/bitcoin/pull/19724#discussion_r475144532
pto->m_tx_relay->nNextInvSend = PoissonNextSend(current_time, std::chrono::seconds{INVENTORY_BROADCAST_INTERVAL >> 1});
                    }
                }
                
                if (fSendTrickle) {
                    LOCK(pto->m_tx_relay->cs_filter);
                    if (!pto->m_tx_relay->fRelayTxes) pto->m_tx_relay->setInventoryTxToSend.clear();
                }
                
                if (fSendTrickle && pto->m_tx_relay->fSendMempool) {
                    auto vtxinfo = m_mempool.infoAll();
                    pto->m_tx_relay->fSendMempool = false;
                    CFeeRate filterrate;
                    {
                        LOCK(pto->m_tx_relay->cs_feeFilter);
                        filterrate = CFeeRate(pto->m_tx_relay->minFeeFilter);
                    }
                    LOCK(pto->m_tx_relay->cs_filter);
                    for (const auto& txinfo : vtxinfo) {
                        const uint256& hash = state.m_wtxid_relay ? txinfo.tx->GetWitnessHash() : txinfo.tx->GetHash();
                        CInv inv(state.m_wtxid_relay ? MSG_WTX : MSG_TX, hash);
                        pto->m_tx_relay->setInventoryTxToSend.erase(hash);
                        
                        if (txinfo.fee < filterrate.GetFee(txinfo.vsize)) {
                            continue;
                        }
                        if (pto->m_tx_relay->pfilter) {
                            if (!pto->m_tx_relay->pfilter->IsRelevantAndUpdate(*txinfo.tx)) continue;
                        }