Nano 33 BLE Rev 2 Bluetooth Transmitter

Official Hardware Nano Family Nano 33 BLE
8

I have not looked at the central, but there is an issue with the peripheral and the use of a long local name.

BLE.setLocalName("Arduino Nano 33 BLE (Peripheral)");

I'm not clear if there is an advertising packet size issue or a library limitation but if you test for the status of .setLocalName()

bool BLEAdvertisingData::setLocalName(const char *localName)
{
  int previousLength = (_localName && strlen(_localName) > 0) ? (strlen(_localName) + AD_FIELD_OVERHEAD) : 0;
  bool success = updateRemainingLength(previousLength, (strlen(localName) + AD_FIELD_OVERHEAD));
  if (success) {
    _localName = localName;
  }
  return success;
}

Add the test to the setup of your code and you can see this for a long and a short local name.

Status with Long Name: 0
Status with Short Name: 1
Nano 33 BLE (Peripheral Device)

void setup() {
  Serial.begin(9600);
  while (!Serial);

  pinMode(LEDR, OUTPUT);
  pinMode(LEDG, OUTPUT);
  pinMode(LEDB, OUTPUT);
  pinMode(LED_BUILTIN, OUTPUT);

  digitalWrite(LEDR, HIGH);
  digitalWrite(LEDG, HIGH);
  digitalWrite(LEDB, HIGH);
  digitalWrite(LED_BUILTIN, LOW);


  if (!BLE.begin()) {
    Serial.println("- Starting Bluetooth® Low Energy module failed!");
    while (1);
  }

  byte status = BLE.setLocalName("Arduino Nano 33 BLE (Peripheral)");
  Serial.print("Status with Long Name: ");
  Serial.println(status);

  status = BLE.setLocalName("BLE (Peripheral)");
  Serial.print("Status with Short Name: ");
  Serial.println(status);

  BLE.setAdvertisedService(gestureService);
  gestureService.addCharacteristic(gestureCharacteristic);
  BLE.addService(gestureService);
  gestureCharacteristic.writeValue(-1);
  BLE.advertise();

  Serial.println("Nano 33 BLE (Peripheral Device)");
  Serial.println(" ");
}

nrfConnect can find and connect when using the short name.